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Three dice are sitting in the corner with the simple rule that where two faces touch they must be the same numbers.
Three dice are sitting in the corner with the simple rule that where two faces touch they must be the same numbers.
So, in the first picture above there are 3's at the bottom of the red dice and on the top of the middle green and there are 4's on the bottom of the green dice and the top of the white dice. The numbers on the seven faces that can be seen are then added and make 21.
So, in the first picture above there are 3's at the bottom of the red dice and on the top of the middle green and there are 4's on the bottom of the green dice and the top of the white dice. The numbers on the seven faces that can be seen are then added and make 21.
In the second picture above there are 4's at the left of the red dice and on the right of the green dice and there are 3's on the left of the green dice and the right of the white dice. The numbers on the seven faces that can be seen are then added and make 23.
In the second picture above there are 4's at the left of the red dice and on the right of the green dice and there are 3's on the left of the green dice and the right of the white dice. The numbers on the seven faces that can be seen are then added and make 23.
Use your own dice
Use your own dice
- What total have you made?
- Can you make a different one?
- How many different ones can you make?
Now for a challenge -
Now for a challenge -
Arrange 3 dice in a line in the corner, so that the faces you can see add up to 18 in as many ways as possible.
Arrange 3 dice in a line in the corner, so that the faces you can see add up to 18 in as many ways as possible.
Try this again with 4 dice
Try this again with 4 dice
Sourced from NRICH maths
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